?Show that \(

Chapter 12, Problem 47

(choose chapter or problem)

Show that \(|\mathbf{a} \times \mathbf{b}|^{2}=|\mathbf{a}|^{2}|\mathbf{b}|^{2}-(\mathbf{a} \cdot \mathbf{b})^{2}\).

Equation Transcription:

|a  b |2 = |a |2 |b |2 ー (a  b)2

Text Transcription:

|a times b |^2 = |a |^2 |b |^2 ー (a times b)^2

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